Convergence rate estimates in some limit theorems for geometric random sums (Q2563475)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence rate estimates in some limit theorems for geometric random sums |
scientific article |
Statements
Convergence rate estimates in some limit theorems for geometric random sums (English)
0 references
12 December 1996
0 references
The author presents a) a nonuniform bound of the closeness between the geometric and the exponential distributions, b) a nonuniform bound of the convergence rate of the distribution of a normalized geometric random sum to the Laplace distribution, and c) some bounds for the closeness between the distribution of a centralized geometric sum and the Laplace distribution.
0 references
geometric distribution
0 references
Laplace distribution
0 references
random sum
0 references
convergence rate
0 references
exponential distribution
0 references